You are excavating a mineral deposit from a mine. A side-on cross-section of the remaining mineral can be seen in the figure below, where the shaded region is indicative of where the mineral is located and the unshaded region is just regular soil. The functions and coordinates on the figure all have units of metres. f(x) = 2x (0,0) (1,2) 5 +² + 8(x) = − 12 x³ + 2 (a) What is the cross-sectional area of the mineral deposit? (b) If the cross-section given is representative of the entire mine, and you are excavating a 50 m long section of mine, what is the total volume of mineral? (c) If the trucks for transporting the mineral have a capacity of 2 cubic metres, what is the minimum number of trucks you need to transport the mineral?
You are excavating a mineral deposit from a mine. A side-on cross-section of the remaining mineral can be seen in the figure below, where the shaded region is indicative of where the mineral is located and the unshaded region is just regular soil. The functions and coordinates on the figure all have units of metres. f(x) = 2x (0,0) (1,2) 5 +² + 8(x) = − 12 x³ + 2 (a) What is the cross-sectional area of the mineral deposit? (b) If the cross-section given is representative of the entire mine, and you are excavating a 50 m long section of mine, what is the total volume of mineral? (c) If the trucks for transporting the mineral have a capacity of 2 cubic metres, what is the minimum number of trucks you need to transport the mineral?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:You are excavating a mineral deposit from a mine. A side-on cross-section of the remaining
mineral can be seen in the figure below, where the shaded region is indicative of where the
mineral is located and the unshaded region is just regular soil. The functions and coordinates
on the figure all have units of metres.
f(x) = 2x
(0,0)
(1,2)
g(x) =
5
(a) What is the cross-sectional area of the mineral deposit?
(b) If the cross-section given is representative of the entire mine, and you are excavating a
50 m long section of mine, what is the total volume of mineral?
(c) If the trucks for transporting the mineral have a capacity of 2 cubic metres, what is the
minimum number of trucks you need to transport the mineral?
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